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Finding the Fourth Proportional to 960.86, 1,325.36 and 764.84

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Solution

The fourth proportional to 960.86, 1,325.36 and 764.84 is: 1,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.86 : 1,325.36 = 764.84 : x
  2. Step 2: Convert to fraction form
    960.86/1,325.36 = 764.84/x
  3. Step 3: Cross multiply
    960.86x = 1,325.36 × 764.84
  4. Step 4: Simplify right side
    960.86x = 1,013,688.34
  5. Step 5: Solve for x
    x = 1,013,688.34/960.86
  6. Step 6: Final answer
    x = 1,054.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.